Relations among some closed graph and open mapping theorems
M. Wilhelm (1979)
Colloquium Mathematicae
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M. Wilhelm (1979)
Colloquium Mathematicae
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Stacho, L. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Marek Wilhelm (1979)
Fundamenta Mathematicae
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A. Bella, F. Cammaroto (1990)
Matematički Vesnik
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Alas, Ofelia T. (1983-1984)
Portugaliae mathematica
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Jie-Hua Mai, Song Shao (2007)
Fundamenta Mathematicae
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Let (X,f) be a dynamical system. In general the set of all ω-limit sets of f is not closed in the hyperspace of closed subsets of X. In this paper we study the case when X is a graph, and show that the family of ω-limit sets of a graph map is closed with respect to the Hausdorff metric.
D. M. Cvetković (1975)
Matematički Vesnik
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Gyula O.H. Katona, Ákos Kisvölcsey (2012)
Discussiones Mathematicae Graph Theory
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A set system is called t-intersecting if every two members meet each other in at least t elements. Katona determined the minimum ratio of the shadow and the size of such families and showed that the Erdős-Ko-Rado theorem immediately follows from this result. The aim of this note is to reproduce the proof to obtain a slight improvement in the Kneser graph. We also give a brief overview of corresponding results.
Don R. Lick (1976)
Colloquium Mathematicae
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Walter Taylor (1969)
Fundamenta Mathematicae
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Ljubomir Čukić (1993)
Matematički Vesnik
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